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Finding the Fourth Proportional to 272,872.20, 409,235.40 and 83,332.20

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Solution

The fourth proportional to 272,872.20, 409,235.40 and 83,332.20 is: 124,976.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,872.20 : 409,235.40 = 83,332.20 : x
  2. Step 2: Convert to fraction form
    272,872.20/409,235.40 = 83,332.20/x
  3. Step 3: Cross multiply
    272,872.20x = 409,235.40 × 83,332.20
  4. Step 4: Simplify right side
    272,872.20x = 34,102,486,199.88
  5. Step 5: Solve for x
    x = 34,102,486,199.88/272,872.20
  6. Step 6: Final answer
    x = 124,976.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.